Filip Broćić

activity

20232026

most citedRiemannian distance and symplectic embeddings in cotangent bundle

4 citations · 4 across the 8 of their papers we have counts for

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3 papers · 1 filter

math.SG2024

A counterexample to Lagrangian Poincaré recurrence

Filip Broćić, Egor Shelukhin

We provide a counterexample to the Lagrangian Poincaré recurrence conjecture of Ginzburg and Viterbo in all dimensions $6$ and greater.

math.SG2024

A note on the capacities of Lagrangian $p$ -sum

Filip Broćić

In this short note, we construct an explicit embedding of the rescaling of the $p$ -sum $K \oplus_{p} K^{\circ}$ of the centrally symmetric convex domain $K$ and its polar $K^{\circ}$ …

math.SG2024

The chord conjecture for conormal bundles

Filip Broćić, Dylan Cant, Egor Shelukhin

We prove Arnol'd's chord conjecture for all Legendrian submanifolds of cosphere bundles of closed manifolds isotopic to conormal bundles of closed submanifolds. Our method of proof…

A counterexample to Lagrangian Poincaré recurrence

A note on the capacities of Lagrangian p-sum

The chord conjecture for conormal bundles

A note on the capacities of Lagrangian $p$ -sum